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Finding the Third Proportional to 55,397.25 and 83,073.38

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Solution

The third proportional to 55,397.25 and 83,073.38 is: 124,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,397.25 : 83,073.38 = 83,073.38 : x
  2. Step 2: Convert to fraction form
    55,397.25/83,073.38 = 83,073.38/x
  3. Step 3: Cross multiply
    55,397.25x = 83,073.38 × 83,073.38
  4. Step 4: Simplify right side
    55,397.25x = 6,901,185,633.89
  5. Step 5: Solve for x
    x = 6,901,185,633.89/55,397.25
  6. Step 6: Final answer
    x = 124,576.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.